A Latin liturgy is a ceremony or ritual conducted in the Latin language. Generally, the term 'Latin liturgy' is used in conjunction with the Christian religion, and especially in association with a Catholic Mass, which may be conducted in Latin or another language. If the Mass was conducted in Latin, it would be referred to as a Latin Mass.
The Traditional (as opposed to the Novus Ordo) Latin Mass is also referred to as the Tridentine Mass. However, the two terms are not interchangeable. The Tridentine Mass is so named because it is the form of Mass set down for the Church after the Council of Trent, a town in northern Italy, whose name in Latin is "Tridentum". The Council lasted from 1545 to 1563, with intermissions. In September 1562 the doctrine of the Mass was determined. By decree of the Council, the actual reform of the Mass rite was left to the Pope, then Pius IV, and his successors.
The term Latin Rite, or Roman Rite, is also sometimes employed to refer to one or more of the forms of the Latin liturgy. The Catholic Encyclopedia, New Advent Version, defines the Roman Rite as: "the manner of celebrating the Holy Sacrifice, administering Sacraments, reciting the Divine Office, and performing other ecclesiastical functions (blessings, all kinds of Sacramentals, etc.) as used in the city and Diocese of Rome. The Roman Rite is the most widespread in Christendom."